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Finding the Fourth Proportional to 496,735.23, 745,213.95 and 181,192.14

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Solution

The fourth proportional to 496,735.23, 745,213.95 and 181,192.14 is: 271,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,735.23 : 745,213.95 = 181,192.14 : x
  2. Step 2: Convert to fraction form
    496,735.23/745,213.95 = 181,192.14/x
  3. Step 3: Cross multiply
    496,735.23x = 745,213.95 × 181,192.14
  4. Step 4: Simplify right side
    496,735.23x = 135,026,910,358.35
  5. Step 5: Solve for x
    x = 135,026,910,358.35/496,735.23
  6. Step 6: Final answer
    x = 271,828.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.